What is the Greatest Common Factor of 7053 and 7061?

Greatest common factor (GCF) of 7053 and 7061 is 1.

GCF(7053,7061) = 1

We will now calculate the prime factors of 7053 and 7061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7053 and 7061.

How to find the GCF of 7053 and 7061?

We will first find the prime factorization of 7053 and 7061. After we will calculate the factors of 7053 and 7061 and find the biggest common factor number .

Step-1: Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 3¹ × 2351¹

Step-2: Prime Factorization of 7061

Prime factors of 7061 are 23, 307. Prime factorization of 7061 in exponential form is:

7061 = 23¹ × 307¹

Step-3: Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1, 3, 2351

Step-4: Factors of 7061

List of positive integer factors of 7061 that divides 7053 without a remainder.

1, 23, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7053 and 7061. The biggest common factor number is the GCF number.
So the greatest common factor 7053 and 7061 is 1.

Also check out the Least Common Multiple of 7053 and 7061